TSTP Solution File: KLE093+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE093+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 05:27:14 EDT 2023
% Result : Theorem 1.47s 1.72s
% Output : Proof 1.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KLE093+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 12:21:56 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 1.47/1.72 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.vx6nuOKiP2/cvc5---1.0.5_8545.p...
% 1.47/1.72 ------- get file name : TPTP file name is KLE093+1
% 1.47/1.72 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_8545.smt2...
% 1.47/1.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.47/1.72 % SZS status Theorem for KLE093+1
% 1.47/1.72 % SZS output start Proof for KLE093+1
% 1.47/1.72 (
% 1.47/1.72 (let ((_let_1 (not (forall ((X0 $$unsorted)) (= (tptp.domain (tptp.star X0)) tptp.one))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.addition X0 X1)) (tptp.addition (tptp.domain X0) (tptp.domain X1)))))) (let ((_let_3 (tptp.domain tptp.zero))) (let ((_let_4 (= _let_3 tptp.zero))) (let ((_let_5 (forall ((X0 $$unsorted)) (= (tptp.addition (tptp.domain X0) tptp.one) tptp.one)))) (let ((_let_6 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= (tptp.addition X0 _let_1) _let_1))))) (let ((_let_7 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_11 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_13 (= tptp.zero _let_3))) (let ((_let_14 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (tptp.domain _let_14))) (let ((_let_16 (= tptp.one _let_15))) (let ((_let_17 (tptp.addition _let_15 tptp.one))) (let ((_let_18 (= tptp.one _let_17))) (let ((_let_19 (tptp.multiplication _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (tptp.addition tptp.one _let_19))) (let ((_let_21 (= _let_20 (tptp.addition _let_19 tptp.one)))) (let ((_let_22 (tptp.addition _let_15 _let_15))) (let ((_let_23 (tptp.addition _let_22 tptp.one))) (let ((_let_24 (= (tptp.addition _let_15 _let_17) _let_23))) (let ((_let_25 (tptp.addition _let_20 _let_14))) (let ((_let_26 (= _let_14 _let_25))) (let ((_let_27 (tptp.addition _let_3 _let_15))) (let ((_let_28 (= _let_27 (tptp.addition _let_15 _let_3)))) (let ((_let_29 (tptp.addition _let_19 _let_22))) (let ((_let_30 (tptp.addition _let_29 tptp.one))) (let ((_let_31 (= (tptp.addition _let_19 _let_23) _let_30))) (let ((_let_32 (tptp.domain _let_20))) (let ((_let_33 (tptp.addition _let_32 _let_15))) (let ((_let_34 (= (tptp.domain _let_25) _let_33))) (let ((_let_35 (= _let_33 (tptp.addition _let_15 _let_32)))) (let ((_let_36 (= (tptp.addition _let_32 _let_17) (tptp.addition _let_33 tptp.one)))) (let ((_let_37 (= _let_15 (tptp.addition _let_15 tptp.zero)))) (let ((_let_38 (tptp.domain tptp.one))) (let ((_let_39 (tptp.domain _let_29))) (let ((_let_40 (tptp.addition _let_39 _let_38))) (let ((_let_41 (= (tptp.domain _let_30) _let_40))) (let ((_let_42 (tptp.addition _let_32 tptp.one))) (let ((_let_43 (= (tptp.addition tptp.one _let_32) _let_42))) (let ((_let_44 (tptp.addition (tptp.addition _let_27 _let_39) _let_38))) (let ((_let_45 (= (tptp.addition _let_27 _let_40) _let_44))) (let ((_let_46 (tptp.addition tptp.one _let_39))) (let ((_let_47 (= (tptp.addition tptp.one _let_40) (tptp.addition _let_46 _let_38)))) (let ((_let_48 (tptp.addition _let_38 tptp.one))) (let ((_let_49 (= (tptp.addition _let_39 _let_48) (tptp.addition _let_40 tptp.one)))) (let ((_let_50 (tptp.multiplication _let_38 tptp.one))) (let ((_let_51 (= _let_50 (tptp.addition tptp.one _let_50)))) (let ((_let_52 (= tptp.one _let_48))) (let ((_let_53 (= (tptp.domain _let_42) (tptp.addition (tptp.domain _let_32) _let_38)))) (let ((_let_54 (= _let_46 (tptp.addition _let_39 tptp.one)))) (let ((_let_55 (= _let_32 (tptp.multiplication _let_32 tptp.one)))) (let ((_let_56 (= _let_38 _let_50))) (let ((_let_57 (SYMM (ASSUME :args (_let_4))))) (let ((_let_58 (forall ((X0 $$unsorted)) (= tptp.one (tptp.domain (tptp.star X0)))))) (let ((_let_59 (not _let_16))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (or))) (let ((_let_62 (_let_59))) (let ((_let_63 (not _let_58))) (let ((_let_64 (forall ((X0 $$unsorted)) (= tptp.one (tptp.addition (tptp.domain X0) tptp.one))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (_let_64))) (let ((_let_67 ((tptp.domain X0)))) (let ((_let_68 (_let_12))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 ((tptp.addition A B)))) (let ((_let_71 (_let_11))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 ((tptp.addition A (tptp.addition B C))))) (let ((_let_74 (tptp.leq _let_20 _let_14))) (let ((_let_75 (= _let_74 _let_26))) (let ((_let_76 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (_let_7))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 (_let_2))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 ((tptp.domain (tptp.addition X0 X1))))) (let ((_let_83 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_84 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= _let_1 (tptp.addition X0 _let_1)))))) (let ((_let_87 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_88 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (_let_88))) (let ((_let_91 ((tptp.multiplication A tptp.one)))) (let ((_let_92 (= _let_38 _let_44))) (let ((_let_93 (not _let_92))) (let ((_let_94 (ASSUME :args (_let_45)))) (let ((_let_95 (SYMM _let_94))) (let ((_let_96 (APPLY_UF tptp.addition))) (let ((_let_97 (ASSUME :args (_let_41)))) (let ((_let_98 (SYMM _let_97))) (let ((_let_99 (APPLY_UF tptp.domain))) (let ((_let_100 (ASSUME :args (_let_31)))) (let ((_let_101 (SYMM _let_100))) (let ((_let_102 (ASSUME :args (_let_24)))) (let ((_let_103 (SYMM _let_102))) (let ((_let_104 (ASSUME :args (_let_18)))) (let ((_let_105 (SYMM _let_104))) (let ((_let_106 (SYMM _let_105))) (let ((_let_107 (REFL :args (_let_15)))) (let ((_let_108 (REFL :args (_let_19)))) (let ((_let_109 (ASSUME :args (_let_21)))) (let ((_let_110 (SYMM _let_109))) (let ((_let_111 (CONG (TRANS (SYMM _let_110) (CONG _let_108 (TRANS _let_106 (CONG _let_107 _let_106 :args _let_96) (SYMM _let_103)) :args _let_96) (SYMM _let_101)) :args _let_99))) (let ((_let_112 (TRANS _let_111 (SYMM _let_98)))) (let ((_let_113 (ASSUME :args (_let_28)))) (let ((_let_114 (SYMM (SYMM _let_113)))) (let ((_let_115 (SYMM _let_57))) (let ((_let_116 (ASSUME :args (_let_37)))) (let ((_let_117 (SYMM _let_116))) (let ((_let_118 (ASSUME :args (_let_26)))) (let ((_let_119 (CONG (SYMM _let_118) :args _let_99))) (let ((_let_120 (ASSUME :args (_let_34)))) (let ((_let_121 (SYMM _let_120))) (let ((_let_122 (ASSUME :args (_let_35)))) (let ((_let_123 (SYMM _let_122))) (let ((_let_124 (SYMM _let_119))) (let ((_let_125 (ASSUME :args (_let_55)))) (let ((_let_126 (REFL :args (tptp.one)))) (let ((_let_127 (CONG (TRANS _let_121 _let_119) _let_126 :args _let_96))) (let ((_let_128 (ASSUME :args (_let_36)))) (let ((_let_129 (SYMM _let_128))) (let ((_let_130 (SYMM _let_129))) (let ((_let_131 (REFL :args (_let_32)))) (let ((_let_132 (CONG _let_131 _let_106 :args _let_96))) (let ((_let_133 (CONG (TRANS _let_132 _let_130 _let_127 _let_105) :args _let_99))) (let ((_let_134 (ASSUME :args (_let_53)))) (let ((_let_135 (SYMM _let_134))) (let ((_let_136 (TRANS _let_135 _let_133))) (let ((_let_137 (REFL :args (_let_39)))) (let ((_let_138 (ASSUME :args (_let_56)))) (let ((_let_139 (SYMM _let_138))) (let ((_let_140 (ASSUME :args (_let_51)))) (let ((_let_141 (SYMM (SYMM _let_140)))) (let ((_let_142 (CONG (SYMM _let_112) _let_126 :args _let_96))) (let ((_let_143 (ASSUME :args (_let_49)))) (let ((_let_144 (SYMM _let_143))) (let ((_let_145 (ASSUME :args (_let_52)))) (let ((_let_146 (SYMM _let_145))) (let ((_let_147 (CONG _let_137 (SYMM _let_146) :args _let_96))) (let ((_let_148 (ASSUME :args (_let_54)))) (let ((_let_149 (SYMM _let_148))) (let ((_let_150 (CONG (TRANS (SYMM _let_149) _let_147 (SYMM _let_144) _let_142 _let_132 _let_130 _let_127 _let_105) (TRANS _let_135 _let_133 _let_138) :args _let_96))) (let ((_let_151 (REFL :args (_let_46)))) (let ((_let_152 (CONG _let_151 (SYMM _let_136) :args _let_96))) (let ((_let_153 (ASSUME :args (_let_47)))) (let ((_let_154 (SYMM _let_153))) (let ((_let_155 (CONG _let_126 _let_112 :args _let_96))) (let ((_let_156 (ASSUME :args (_let_43)))) (let ((_let_157 (SYMM (SYMM _let_156)))) (let ((_let_158 (SYMM _let_132))) (let ((_let_159 (SYMM _let_127))) (let ((_let_160 (ASSUME :args _let_62))) (let ((_let_161 (TRANS _let_98 (CONG (TRANS _let_101 (CONG _let_108 (TRANS _let_103 (CONG _let_107 _let_105 :args _let_96) _let_105) :args _let_96) _let_110) :args _let_99)))) (let ((_let_162 (CONG _let_131 _let_104 :args _let_96))) (let ((_let_163 (CONG (TRANS _let_162 _let_130 _let_127 _let_105) :args _let_99))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_160 _let_104 _let_118 _let_120 _let_128 _let_156 _let_109 _let_102 _let_100 _let_97 _let_153 _let_134 _let_148 _let_145 _let_143 _let_138 _let_140 _let_122 _let_116 _let_57 _let_113 _let_94) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS _let_138 _let_141 (CONG (TRANS _let_104 _let_159 _let_129 (SYMM _let_162) (CONG (SYMM _let_161) _let_126 :args _let_96) _let_144 (CONG _let_137 _let_146 :args _let_96) _let_149) (TRANS _let_139 (SYMM _let_163) _let_134) :args _let_96) (CONG _let_151 (TRANS _let_135 _let_163) :args _let_96) _let_154 (CONG _let_126 _let_161 :args _let_96) _let_157 _let_162 _let_130 _let_127 _let_105) (TRANS _let_95 (CONG (TRANS (TRANS _let_114 (CONG _let_107 _let_115 :args _let_96) _let_117 _let_124 _let_120 _let_122) (TRANS _let_123 _let_121 _let_119)) _let_161 :args _let_96) _let_123 _let_121 _let_119) :args (=)) (FALSE_INTRO _let_160))) :args (_let_59 _let_18 _let_26 _let_34 _let_36 _let_43 _let_21 _let_24 _let_31 _let_41 _let_47 _let_53 _let_54 _let_52 _let_49 _let_56 _let_51 _let_35 _let_37 _let_13 _let_28 _let_45))) (MODUS_PONENS (AND_INTRO _let_94 _let_113 _let_57 _let_116 _let_118 _let_120 _let_122 _let_97 _let_100 _let_102 _let_104 _let_109 _let_125 _let_128 _let_134 _let_138 _let_140 _let_143 _let_145 _let_148 _let_153 _let_156) (SCOPE (TRANS _let_138 _let_141 (SYMM _let_150) (SYMM _let_152) _let_154 (SYMM _let_155) _let_157 _let_132 _let_130 _let_127 (CONG _let_107 (TRANS _let_106 _let_159 _let_129 _let_158 (SYMM _let_142) _let_144 (SYMM _let_147) (CONG _let_137 (TRANS _let_106 _let_159 _let_129 _let_158 (SYMM _let_157) _let_155 (SYMM _let_154) _let_152 _let_150 (SYMM _let_141) _let_139 (SYMM _let_133) _let_134) :args _let_96) (CONG _let_137 _let_136 :args _let_96) _let_98 (SYMM _let_111) _let_125) :args _let_96) (CONG _let_107 (SYMM _let_125) :args _let_96) (CONG (TRANS (TRANS _let_124 _let_120 _let_122) (TRANS _let_123 _let_121 _let_119 (SYMM _let_117) (CONG _let_107 (SYMM _let_115) :args _let_96) (SYMM _let_114))) _let_112 :args _let_96) (SYMM _let_95)) :args (_let_45 _let_28 _let_13 _let_37 _let_26 _let_34 _let_35 _let_41 _let_31 _let_24 _let_18 _let_21 _let_55 _let_36 _let_53 _let_56 _let_51 _let_49 _let_52 _let_54 _let_47 _let_43)))) :args (_let_13 _let_59 _let_18 _let_21 _let_24 _let_26 _let_28 _let_31 _let_34 _let_35 _let_36 _let_37 _let_41 _let_43 _let_45 _let_47 _let_49 _let_51 _let_52 _let_53 _let_54 _let_55 _let_56)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_93)))) (TRUE_INTRO (ASSUME :args (_let_92))))) :args (_let_93 _let_92)) :args ((not (and _let_13 _let_59 _let_18 _let_21 _let_24 _let_26 _let_28 _let_31 _let_34 _let_35 _let_36 _let_37 _let_41 _let_43 _let_45 _let_47 _let_49 _let_51 _let_52 _let_53 _let_54 _let_55 _let_56)) SB_LITERAL))) (CONG (REFL :args ((not _let_13))) (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_16))) (REFL :args ((not _let_18))) (REFL :args ((not _let_21))) (REFL :args ((not _let_24))) (REFL :args ((not _let_26))) (REFL :args ((not _let_28))) (REFL :args ((not _let_31))) (REFL :args ((not _let_34))) (REFL :args ((not _let_35))) (REFL :args ((not _let_36))) (REFL :args ((not _let_37))) (REFL :args ((not _let_41))) (REFL :args ((not _let_43))) (REFL :args ((not _let_45))) (REFL :args ((not _let_47))) (REFL :args ((not _let_49))) (REFL :args ((not _let_51))) (REFL :args ((not _let_52))) (REFL :args ((not _let_53))) (REFL :args ((not _let_54))) (REFL :args ((not _let_55))) (REFL :args ((not _let_56))) :args _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_56 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_55 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.one _let_39 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_54 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_32 tptp.one QUANTIFIERS_INST_E_MATCHING _let_82)) :args _let_80)) _let_81 :args (_let_53 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_66)) _let_65 :args (_let_52 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.domain X0)))) :args (_let_86))) _let_87 :args (_let_51 false _let_86)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.one _let_38 _let_39 QUANTIFIERS_INST_E_MATCHING _let_83)) :args _let_71)) _let_72 :args (_let_49 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_38 _let_39 tptp.one QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71)) _let_72 :args (_let_47 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_38 _let_39 _let_27 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71)) _let_72 :args (_let_45 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.one _let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_43 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_29 tptp.one QUANTIFIERS_INST_E_MATCHING _let_82)) :args _let_80)) _let_81 :args (_let_41 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A tptp.zero)))) :args (_let_84))) _let_85 :args (_let_37 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.one _let_15 _let_32 QUANTIFIERS_INST_E_MATCHING _let_83)) :args _let_71)) _let_72 :args (_let_36 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_32 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_35 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_20 _let_14 QUANTIFIERS_INST_E_MATCHING _let_82)) :args _let_80)) _let_81 :args (_let_34 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.one _let_22 _let_19 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71)) _let_72 :args (_let_31 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_3 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_28 false _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_75)) :args ((or (not _let_74) _let_26 (not _let_75)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args _let_78)) _let_79 :args (_let_74 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_20 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.leq A B)))) :args (_let_76))) _let_77 :args (_let_75 false _let_76)) :args (_let_26 false _let_74 false _let_75)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.one _let_15 _let_15 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71)) _let_72 :args (_let_24 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.one _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_21 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_66)) _let_65 :args (_let_18 false _let_64)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_60) :args (_let_63))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_58))) (REFL :args _let_62) :args _let_61)) _let_60 :args (_let_59 true _let_58)) _let_57 :args (false false _let_56 false _let_55 false _let_54 false _let_53 false _let_52 false _let_51 false _let_49 false _let_47 false _let_45 false _let_43 false _let_41 false _let_37 false _let_36 false _let_35 false _let_34 false _let_31 false _let_28 false _let_26 false _let_24 false _let_21 false _let_18 true _let_16 false _let_13)) :args (_let_12 _let_11 _let_10 (forall ((A $$unsorted)) (= (tptp.addition A A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) _let_9 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))) (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) _let_8 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication A _let_1)) _let_1))) _let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication A B) C) B) (tptp.leq (tptp.multiplication (tptp.star A) C) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication A B) C) A) (tptp.leq (tptp.multiplication C (tptp.star B)) A))) _let_6 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.multiplication X0 X1)) (tptp.domain (tptp.multiplication X0 (tptp.domain X1))))) _let_5 _let_4 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.47/1.73 )
% 1.47/1.73 % SZS output end Proof for KLE093+1
% 1.47/1.73 % cvc5---1.0.5 exiting
% 1.47/1.73 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------